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Finding the Fourth Proportional to 29,837.70, 41,178.15 and 19,748.52

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Solution

The fourth proportional to 29,837.70, 41,178.15 and 19,748.52 is: 27,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,837.70 : 41,178.15 = 19,748.52 : x
  2. Step 2: Convert to fraction form
    29,837.70/41,178.15 = 19,748.52/x
  3. Step 3: Cross multiply
    29,837.70x = 41,178.15 × 19,748.52
  4. Step 4: Simplify right side
    29,837.70x = 813,207,518.84
  5. Step 5: Solve for x
    x = 813,207,518.84/29,837.70
  6. Step 6: Final answer
    x = 27,254.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.